We now come to the statement of the Campana–Manin conjecture given in [1]}. Let \(K\)  be a number field, and let \((X,D)\)  be a Campana orbifold over \(K\)  with a good integral model \(({X},{D})\)  over \({O}_{K,S}\) . Let \(({L},\Vert \cdot \Vert )\)  be an adelically metrized big and nef line bundle on \(X\)  and \([L]\)  the associated divisor class. We let \(H_{{L}}\colon X(K) \rightarrow \mathbb {R}_{\geqslant 0}\)  denote the corresponding height function, as defined in [2]}.
We recall that the effective cone \(\Lambda _{\operatorname{eff}}\)  of a variety \(X\)  is defined as
\(\Lambda _{\operatorname{eff}} = \lbrace [D]\in \operatorname{Pic}(X): [D]\geqslant 0\rbrace \otimes _{\mathbb {Z}}\mathbb {R}.\) 
